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Signcryption can realize the function of encryption and signature in a reasonable logic step, which can lower computational costs and communication overheads. In 2008, S. S. D. Selvi et al. proposed an identity-based threshold signcryption scheme. In this paper, the authors show that the threshold signcryption scheme of S. S. D. Selvi et al. is vulnerable if the attacker can replaces the group public key. Then they point out that the receiver uses the senders' public key without any verification in the unsigncrypt stage cause this attack. Further, they propose a probably-secure improved scheme to correct the vulnerable and give the unforgeability and confidentiality of their improved scheme under the existing security assumption.
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